Question

Find the value of term a14 in the sequence.

3, 1, –1, –3, –5, . . .

–23

–11

–9

–25

Answer 1

9514 1404 393

Answer:

(a) -23

Explanation:

The sequence is arithmetic with first term 3 and common difference -2. Then the general term is ...

an = a1 +d(n -1)

an = 3 -2(n -1)

and the 14th term is ...

a14 = 3 -2(14 -1) = 3 -2(13) = 3 -26

a14 = -23